Finite Group Databasebeta

← Group #11897676

Character table — Group #11897676

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444888888888888881212121212121212121212121212121216161616161624242424242424242424242424242424363636367272
order122233444466666634666121212121212121244121212121212121212121212224444446666121212121212121212124488121212121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-11111111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111-1-111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1
χ9111111-1-1111111111-111111-1-11-1-111-1-1-111-1-111-1-1-1-111111-11-1111111-1-11-111-1-1-1-11-111-1-1-1-11-111-1-111-1-11-1
χ10111111-1-1111111111-111111-1-11-1-111-1-1-111-1-111-1-1-1-111-1-11-11-1111111-1-11-111-1-1-11-11-1-111-1-11-1-1-111-1-111-11
χ11111111-1-1111111111-111111-1-11-1-111-1-1-111-1-111-1-1-1-1-1-111-11-11-1-1-1-1-1-1111-111-1-11-11-111-1-111-1111-1-1-1-111-11
χ12111111-1-1111111111-111111-1-11-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1111-111-1-111-11-1-11111-11-1-11111-1-11-1
χ13111111-1-1111111111-111111-1-11-1-11-11-1-1-1-11111-1-1-1-11111-11-111111-1-111-11-1-111-1-1-1111-1-1-1-1-11-1-11111-1-1-11
χ14111111-1-1111111111-111111-1-11-1-11-11-1-1-1-11111-1-1-1-111-1-1-11-111111-1-111-11-1-111-111-1-1-111-1-1-1111-1-1-1-1111-1
χ15111111-1-1111111111-111111-1-11-1-11-11-1-1-1-11111-1-1-1-1-1-1111-11-1-1-1-1-111-1-1-11-1-1111-1-1111-1-1111-1-1-111-1-1111-1
χ16111111-1-1111111111-111111-1-11-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-11-1-111111-1-1-111111-111-1-111-1-1-11
χ1722222222-2-22222222-2222-2-222-222-200-2-20000-2-222-2-2000022-2-20000-2-2-2-20000000000000000220000000000
χ1822222222-2-22222222-2222-2-222-222-200-2-20000-2-222-2-20000-2-222000022220000000000000000-2-20000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-200220000-2-2-2-22200002-2-220000-2-22200000000000000002-20000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-200220000-2-2-2-2220000-222-2000022-2-20000000000000000-220000000000
χ2122222-122222-122-1-1-12-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-122002222-1-1-1-1-1-1-1-122-1-1-1-120000000-1-1-1-10000000000
χ2222222-122222-122-1-1-12-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-21111111122-1-1-1-1-2000000011110000000000
χ2322222-122222-122-1-1-12-1-1-1-1-1222-1-12-2-22-11111-1-1-1-1-1-12200-2-2-2-2-1-1-1-11111-2-2111120000000-1-1110000000000
χ2422222-122222-122-1-1-12-1-1-1-1-1222-1-12-2-22-11111-1-1-1-1-1-1-2-20022221111-1-1-1-1-2-21111-2000000011-1-10000000000
χ2522222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-200-21−i3i3−i3i311-1-111000022-2-2−i3−i3i3i3111100−i3i3−i3i300000000−i3i3-1-10000000000
χ2622222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-200-21−i3i3−i3i311-1-1110000-2-222i3i3−i3−i3-1-1-1-100−i3i3−i3i300000000i3−i3110000000000
χ2722222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-200-21i3−i3i3−i311-1-111000022-2-2i3i3−i3−i3111100i3−i3i3−i300000000i3−i3-1-10000000000
χ2822222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-200-21i3−i3i3−i311-1-1110000-2-222−i3−i3i3i3-1-1-1-100i3−i3i3−i300000000−i3i3110000000000
χ2922222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-221122-2-21-1-111-1-1111122002-22-2-1-1-1-1-1-1112-2-1-111-2000000011-110000000000
χ3022222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-221122-2-21-1-111-1-11111-2-200-22-22111111-1-12-2-1-11120000000-1-11-10000000000
χ3122222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-22112-22-2111-1-1-1-111112200-22-22-1-1-1-111-1-1-2211-1-1-20000000111-10000000000
χ3222222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-22112-22-2111-1-1-1-11111-2-2002-22-21111-1-111-2211-1-120000000-1-1-110000000000
χ3322222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-2002-1−i3i3i3−i31111-1-100002-2-22−i3−i3i3i311-1-100−i3i3i3−i300000000i3−i3-110000000000
χ3422222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-2002-1−i3i3i3−i31111-1-10000-222-2i3i3−i3−i3-1-11100−i3i3i3−i300000000−i3i31-10000000000
χ3522222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-2002-1i3−i3−i3i31111-1-100002-2-22i3i3−i3−i311-1-100i3−i3−i3i300000000−i3i3-110000000000
χ3622222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-2002-1i3−i3−i3i31111-1-10000-222-2−i3−i3i3i3-1-11100i3−i3−i3i300000000i3−i31-10000000000
χ372222-122222-12-1-122-12-1-1-122-1-1-122-122-122222-1-1-1-1-1-10022000000000000-1-1-1-1-1-10222-1-1-1-10000-1-1-1-1000000
χ382222-122222-12-1-122-12-1-1-122-1-1-122-122-122222-1-1-1-1-1-100-2-2000000000000-1-1-1-1-1-10-2-2-2111100001111000000
χ392222-122222-12-1-122-12-1-1-122-1-1-122-1-2-2-12-2-2-2-2-1-1-1-1-1-1002200000000000011111102-2-2-1-1-1-100001111000000
χ402222-122222-12-1-122-12-1-1-122-1-1-122-1-2-2-12-2-2-2-2-1-1-1-1-1-100-2-20000000000001111110-22211110000-1-1-1-1000000
χ412222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-12-21-222-2-2-1-111110022000000000000-11-1-1110-22-2-1-1110000-1-111000000
χ422222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-12-21-222-2-2-1-1111100-2-2000000000000-11-1-11102-2211-1-1000011-1-1000000
χ432222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-1-221-2-2-222-1-1111100220000000000001-111-1-10-2-22-1-111000011-1-1000000
χ442222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-1-221-2-2-222-1-1111100-2-20000000000001-111-1-1022-211-1-10000-1-111000000
χ4522-2-222002-2-222-2-2-2202-2-22-200200-2000000002-200002-22-200002-22-2000000000000002-200000000002-20000
χ4622-2-222002-2-222-2-2-2202-2-22-200200-2000000002-200002-2-2200002-22-200000000000000-220000000000-220000
χ4722-2-222002-2-222-2-2-2202-2-22-200200-2000000002-20000-222-20000-22-22000000000000002-20000000000-220000
χ4822-2-222002-2-222-2-2-2202-2-22-200200-2000000002-20000-22-220000-22-2200000000000000-2200000000002-20000
χ494444-2444-4-4-24-2-244-2-4-2-2-2-4-4-2-22442002-4000022-2-22200000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-24-2-244-24-2-2-2-4-4222-4-4200-2400002222-2-200000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-2-2-2-2-21111110000000000000000-2-211110000000000000000000000
χ524444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-22222111111000000000000000022-1-1-1-10000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-21-411122-2-22-2-220022−2i32i3−2i32i3-1-111-1-1000000000000000000i3−i3i3−i30000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-411122-2-22-2-2200222i3−2i32i3−2i3-1-111-1-1000000000000000000−i3i3−i3i30000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-21-4111-2-222-222-24-422-2-22211-1-1-1-10000000000000000-2211-1-10000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-4111-2-222-222-2-442222-2-211-1-1-1-100000000000000002-2-1-1110000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2−2i32i32i3−2i3-1-1-1-111000000000000000000i3−i3−i3i30000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-22i3−2i3−2i32i3-1-1-1-111000000000000000000−i3i3i3−i30000000000000000000000
χ5944-4-44400-44-444-4-4-4404-4-4-4400-400400000000-44000000000000000000000000000000000000000000000000
χ6044-4-44-2004-4-4-24-422-20-222-2200400-400000000-2200004-4000000-22-2200000000000000000000000000000000
χ6144-4-44-2004-4-4-24-422-20-222-2200400-400000000-220000-440000002-22-200000000000000000000000000000000
χ6244-4-44-200-44-4-24-422-20-2222-200-4004000000002-2000000000000−2i32i32i3−2i300000000000000000000000000000000
χ6344-4-44-200-44-4-24-422-20-2222-200-4004000000002-20000000000002i3−2i3−2i32i300000000000000000000000000000000
χ6444-4-4-24004-424-22-4-4-20-2224-400-200200000000-220000004-40000000000000000000000-220000000000000000
χ6544-4-4-24004-424-22-4-4-20-2224-400-200200000000-22000000-4400000000000000000000002-20000000000000000
χ6644-4-4-2400-4424-22-4-4-20-222-4400200-2000000002-20000000000000000000000000000000023−2300000000000000
χ6744-4-4-2400-4424-22-4-4-20-222-4400200-2000000002-200000000000000000000000000000000−232300000000000000
χ684-44-4444-4004-4-4-4-4440-44-4004-404-4000000000004-40000000000000000000000000000000000000000000000
χ694-44-444-44004-4-4-4-4440-44-400-440-4400000000000-440000000000000000000000000000000000000000000000
χ704-44-44-24-40042-4-42-2-202-22004-40-2200000000000-220000000000000023−2323−230000000000000000000000000000
χ714-44-44-24-40042-4-42-2-202-22004-40-2200000000000-2200000000000000−2323−23230000000000000000000000000000
χ724-44-44-2-440042-4-42-2-202-2200-4402-2000000000002-20000000000000023−23−23230000000000000000000000000000
χ734-44-44-2-440042-4-42-2-202-2200-4402-2000000000002-200000000000000−232323−230000000000000000000000000000
χ744-44-4-244-400-2-422-44-202-2200-2204-400000000000-22000000000000000000000000000000000000i6−i6i6−i6000000
χ754-44-4-244-400-2-422-44-202-2200-2204-400000000000-22000000000000000000000000000000000000−i6i6−i6i6000000
χ764-44-4-24-4400-2-422-44-202-22002-20-44000000000002-2000000000000000000000000000000000000i6−i6−i6i6000000
χ774-44-4-24-4400-2-422-44-202-22002-20-44000000000002-2000000000000000000000000000000000000−i6i6i6−i6000000
χ784-4-44440000-4-4-444-440-4-440000000000000000000000000000000000000000000000000000000000000022−2200
χ794-4-44440000-4-4-444-440-4-4400000000000000000000000000000000000000000000000000000000000000−222200
χ8088-8-8-4-4008-84-4-4444202-2-2-4400-4004000000002-2000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-884-4-4444202-2-24-400400-400000000-22000000000000000000000000000000000000000000000000
χ828-88-8-4-48-800-44444-420-22-200-440-44000000000002-20000000000000000000000000000000000000000000000
χ838-88-8-4-4-8800-44444-420-22-2004-404-400000000000-220000000000000000000000000000000000000000000000
χ848-8-888-40000-84-88-44-4044-4000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800004-84-48-8-4044-4000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40000444-4-4420-2-22000000000000000000006-600000000000000000000000000000000000000000000
χ878-8-88-4-40000444-4-4420-2-2200000000000000000000-6600000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).